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haleyelizabeth2017
 one year ago
The area of a parking lot is 805 square meters. A car requires 5 square meters and a bus requires 32 square meters of space. There can be at most 80 vehicles parked at one time. If the cost to park a car is $2.00 and a bus is $6.00, how many buses should be in the lot to maximize income?
Please no direct answers.
haleyelizabeth2017
 one year ago
The area of a parking lot is 805 square meters. A car requires 5 square meters and a bus requires 32 square meters of space. There can be at most 80 vehicles parked at one time. If the cost to park a car is $2.00 and a bus is $6.00, how many buses should be in the lot to maximize income? Please no direct answers.

This Question is Closed

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Would the first inequality be \[5c+32b \le 805\]?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Okay...I'm not sure what to put for the second one...\(c+b\le 80\)?

Hero
 one year ago
Best ResponseYou've already chosen the best response.1why did you write 805 Instead of 80 ?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1there are 805 square meters in the parking lot.

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Shoot...typo, sorry.

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1I made a typo...I meant 805, my bad

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Assuming your inequalities are correct, what do you think would be the next step?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Don't I need a third inequality? For prices?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1oh wait...no...I use the prices to find the min/max! So f(x,y)=2c+6b?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Will there only be one intersection point then?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1But, would max be at (65,15) so 15 buses?

Hero
 one year ago
Best ResponseYou've already chosen the best response.1There's a range of points Within a region that are possible, but there is only one correct pair of coordinates that will maximize the profit

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Show we how you found that result.

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1I have no idea...I just chose the intersection point...I'm sorry, I'm having a hard time understanding these word problems...with only two inequalities to graph...

Hero
 one year ago
Best ResponseYou've already chosen the best response.1There's almost always four inequalities to graph and you usually use x and y for variables

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1When I dealt with the three inequalities I plugged in the intersection points into the f(x,y) function...

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Because you also consider .\[c \ge 0\] and \[b \ge 0\]

Hero
 one year ago
Best ResponseYou've already chosen the best response.1but If you use x and y as variables, then you can use a platform like desmos to plot your inequalities

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1That's what I'm doing :)

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1So, the intersection points I have now are: (80, 0) (65, 15) (0, 25.16) (0,0) But we can tell already that (0,0) will not be the maximum.

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1It is (65,15).

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1f(80,0)=160 f(0, 25.16)=150.96 f(0,0)=0 f(65,15)=220

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Would you mind helping me with a couple more?

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Sure, but you seem to already know what you are doing for the Most part.

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1I think for one I just need it checked...not sure about the last one..

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.1Eh I'll just post the one I need help on :)
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